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Finding the Fourth Proportional to 6,303.48, 9,432.94 and 4,633.68

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Solution

The fourth proportional to 6,303.48, 9,432.94 and 4,633.68 is: 6,934.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,303.48 : 9,432.94 = 4,633.68 : x
  2. Step 2: Convert to fraction form
    6,303.48/9,432.94 = 4,633.68/x
  3. Step 3: Cross multiply
    6,303.48x = 9,432.94 × 4,633.68
  4. Step 4: Simplify right side
    6,303.48x = 43,709,225.42
  5. Step 5: Solve for x
    x = 43,709,225.42/6,303.48
  6. Step 6: Final answer
    x = 6,934.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.